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GCOEレクチャーズ
過去の記録 ～04/17｜次回の予定｜今後の予定 04/18～
2008年11月26日(水)
14:40-16:10 数理科学研究科棟(駒場) 002号室
Andrei Pajitnov 氏 (Univ. de Nantes)
Circle-valued Morse theory, Lecture 1
Andrei Pajitnov 氏 (Univ. de Nantes)
Circle-valued Morse theory, Lecture 1
[ 講演概要 ]
Morse theory of circle-valued functions, initiated by S. P. Novikov in 1980-1982 is now a rapidly developing domain with applications and connections to many other fields of geometry and topology such as dynamical systems, Lagrangian intersections,
knots and links in three-dimensional sphere.
We will start with the basics of the theory, discuss the construction of the Novikov complex, relations with the dynamical zeta functions, and the knot theory. We will conclude with a list of the open problems of the theory.
Morse theory of circle-valued functions, initiated by S. P. Novikov in 1980-1982 is now a rapidly developing domain with applications and connections to many other fields of geometry and topology such as dynamical systems, Lagrangian intersections,
knots and links in three-dimensional sphere.
We will start with the basics of the theory, discuss the construction of the Novikov complex, relations with the dynamical zeta functions, and the knot theory. We will conclude with a list of the open problems of the theory.
